[PDF] Top 20 Exponential Stability and Bounded Convolutions

... Schnaubelt, Exponential stability, exponential expansiveness and exponential dichotomy of evolution equa- tions on the half line, Integral Equations Operator Theory, 32 (1998), 332-353..[r] ... See full document

... Lyapunov stability of ordinary differential ...the stability of the differential equation y (x) = y(x), which was then extended to the Banach space-valued differential equation y (x) = λy(x) by Takahasi et ... See full document

... asymptotic stability of nonlinear delay differential equations on the basis of the known schemes of upper and lower ...the exponential stability in this ... See full document

... There are many papers which discuss stability of systems. It is called a stabilization problem when we impose such conditions on a given unstable system to make it stable. There have been rich literatures on this ... See full document

... either bounded or exponential (see Baker [5], Baker, Lawrence and Zorzitto [6], and Kuczma ...the exponential equation(see also [3, 7, 10] ... See full document

... Abstract—This paper is concerned with cellular neural net- works with proportional delays. The proportional delay is a time-varying unbounded delay which is different from the con- stant delay, bounded ... See full document

... locally bounded, that is, there exist h > 0 and M ≥ 1 such that ||T (t)|| ≤ M for all t ∈ [0, ...locally bounded semigroup is exponentially bounded, that is, there exist ω ∈ R + and M ≥ 1 such ... See full document

... As shown in [9, Chapter 6, Theorem 2.3], condition (2.6) implies that the semiflow (2.3) is strongly order-preserving (see [9, Chapter 1] for the definition of a strongly order- preserving semiflow which is not needed ... See full document

... Considering technology limitation or device restriction in practical application, we formulate new nonlinear systems with bounded gain error, which contain switched control and impulsive control. We then ... See full document

... In the mathematical simulation in various important branches of control theory, phar- macokinetics, economics, etc., one has to analyze the influence of the deviation of the reg- ulated quantity. Such a kind of problems ... See full document

... In the previous section, we have shown that the spectra connected to strong and mild solutions coincide. Hence, one might argue that the asymptotic properties (i.e., exponen- tial stability or instability) of ... See full document

... In the stability analysis of switched linear systems, uncertainties of subsystem matrices play an important role. In this section, we will formulate the parametric uncertainty, which usually arises when state ... See full document

... The admissible values of the parameter γ used in the proof of Theorem  are γ > . Set- ting γ =  and tracing all steps of the proof, we conclude that the assertion of exponential stability is not true. ... See full document

... square stability of the zero solution of the impulsive stochastic Volterra equation is studied by using obtained inequalities on Liapunov function, including mean square exponential and ... See full document

... Certain Classes of Univalent Functions with Negative Coefficients, Bull.. Univalent Functions With Negative Coefficients, Proc.[r] ... See full document

... Azpeitia [i] considers entire functions fs and proves that if fs is of bounded index N, then it reduces to an exponential polynomial... Bajpai [2] replaces the.[r] ... See full document

... Then we apply linear stability analysis to arrive at a condition on the connection matrix that ensures local stability of the mean pattern and a bounded stationary covariance structure..[r] ... See full document

... However, stability of the difference schemes, constructed in all these papers, was investigated using the technique of constructing dissipative en- ergy ...get exponential stability of the numerical ... See full document

... belongs to Y , and the family T := {T (t) : t ≥ 0} is an one-parameter semigroup of bounded linear operators on Y. The semigroup T can be not strongly continuo- us. However, in certain cases, this semigroup is ... See full document

... of bounded rationality, observed outcomes may be close to fully rational behavior, or may be close to fully rational behavior for nearby parameter ...of bounded rationality can have a big impact on ... See full document